If X={8n−7n−1,n∈N}and Y={49(n−1):n∈N}, then

Suppose X={8n−7n−1,n∈N},Y={49(n−1):n∈N} Then X={0,49,490,⋯} Y={0,49,98,⋯} ∴X⊂Y

If X={8n−7n−1,n∈N}and Y={49(n−1):n∈N}, then

Suppose X={8n−7n−1,n∈N},Y={49(n−1):n∈N} Then X={0,49,490,⋯} Y={0,49,98,⋯} ∴X⊂Y

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If $X = {8^{n} - 7 n - 1, n \in N} and Y = {49 (n - 1) : n \in N},$ then

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X = Y

Y \subset X

X \subset Y

answer is A.

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Detailed Solution

Suppose

X = {8^{n} - 7^{n - 1}, n \in N}, Y = {49 (n - 1) : n \in N}

Then $X = {0, 49, 490, \dots}$

$Y = {0, 49, 98, \dots}$

$∴ X \subset Y$

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If X={8n−7n−1,n∈N}and Y={49(n−1):n∈N}, then

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If $X = {8^{n} - 7 n - 1, n \in N} and Y = {49 (n - 1) : n \in N},$ then